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Dimension of invariant measures for continuous random dynamical systems
Author(s) -
Bielaczyc Tomasz,
Horbacz Katarzyna
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3836
Subject(s) - mathematics , invariant (physics) , invariant measure , dynamical systems theory , dimension (graph theory) , statistical physics , pure mathematics , mathematical physics , ergodic theory , physics , quantum mechanics
We consider continuous random dynamical systems with jumps. We estimate the dimension of the invariant measures and apply the results to a model of stochastic gene expression. Copyright © 2016 John Wiley & Sons, Ltd.